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Finding the Fourth Proportional to 178,257.86, 246,107.70 and 114,706.10

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Solution

The fourth proportional to 178,257.86, 246,107.70 and 114,706.10 is: 158,366.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,257.86 : 246,107.70 = 114,706.10 : x
  2. Step 2: Convert to fraction form
    178,257.86/246,107.70 = 114,706.10/x
  3. Step 3: Cross multiply
    178,257.86x = 246,107.70 × 114,706.10
  4. Step 4: Simplify right side
    178,257.86x = 28,230,054,446.97
  5. Step 5: Solve for x
    x = 28,230,054,446.97/178,257.86
  6. Step 6: Final answer
    x = 158,366.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.